Least Common Multiple (LCM) of 139 and 154
The least common multiple (LCM) of 139 and 154 is 21406.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 139 and 154?
First, calculate the GCD of 139 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 154 = 0 remainder 139 |
| 2 | 154 ÷ 139 = 1 remainder 15 |
| 3 | 139 ÷ 15 = 9 remainder 4 |
| 4 | 15 ÷ 4 = 3 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 75 | 3675 |
| 110 and 107 | 11770 |
| 19 and 132 | 2508 |
| 199 and 17 | 3383 |
| 119 and 148 | 17612 |